These lecture notes provide an (almost) self-contained account on conformal invariance of the planar critical Ising and FK-Ising models. They present the theory of discrete holomorphic functions and its applications to planar statistical physics (more precisely to the convergence of fermionic observables). Convergenc
Many important systems in nature possess so-called critical points. The most famous example appears ...
In this article we show the convergence of a loop ensemble of interfaces in the FK Ising model at cr...
Funding Information: S.P. is supported by KIAS Individual Grant (MG077201, MG077202) at Korea Instit...
These lecture notes provide a (almost) self-contained account on conformal invariance of the planar ...
We construct discrete holomorphic observables in the Ising model at criticality and show that they h...
This volume is based on the PhD thesis of the author. Through the examples of the self-avoiding walk...
Abstract It is widely believed that the celebrated 2D Ising model at criti-cality has a universal an...
Many 2D lattice models of physical phenomena are conjectured to have conformally invariant scaling l...
This thesis is dedicated to the study of the conformal invariance and the universality of the dimer ...
Abstract. We prove that crossing probabilities for the critical planar Ising model with free boundar...
Many 2D critical lattice models are believed to have conformally invariant scal-ing limits. This bel...
Président: Robert P. LANGLANDS Rapporteurs Yves COLIN de VERDIERE, Marcus SLUPINSKI, Jean-Bernard ZU...
Abstract. We study the 2-dimensional Ising model at critical temperature on a smooth simply-connecte...
The critical phases of two dimensional lattice models are widely believed to be described by conform...
We prove that crossing probabilities for the critical planar Ising model with free boundary conditio...
Many important systems in nature possess so-called critical points. The most famous example appears ...
In this article we show the convergence of a loop ensemble of interfaces in the FK Ising model at cr...
Funding Information: S.P. is supported by KIAS Individual Grant (MG077201, MG077202) at Korea Instit...
These lecture notes provide a (almost) self-contained account on conformal invariance of the planar ...
We construct discrete holomorphic observables in the Ising model at criticality and show that they h...
This volume is based on the PhD thesis of the author. Through the examples of the self-avoiding walk...
Abstract It is widely believed that the celebrated 2D Ising model at criti-cality has a universal an...
Many 2D lattice models of physical phenomena are conjectured to have conformally invariant scaling l...
This thesis is dedicated to the study of the conformal invariance and the universality of the dimer ...
Abstract. We prove that crossing probabilities for the critical planar Ising model with free boundar...
Many 2D critical lattice models are believed to have conformally invariant scal-ing limits. This bel...
Président: Robert P. LANGLANDS Rapporteurs Yves COLIN de VERDIERE, Marcus SLUPINSKI, Jean-Bernard ZU...
Abstract. We study the 2-dimensional Ising model at critical temperature on a smooth simply-connecte...
The critical phases of two dimensional lattice models are widely believed to be described by conform...
We prove that crossing probabilities for the critical planar Ising model with free boundary conditio...
Many important systems in nature possess so-called critical points. The most famous example appears ...
In this article we show the convergence of a loop ensemble of interfaces in the FK Ising model at cr...
Funding Information: S.P. is supported by KIAS Individual Grant (MG077201, MG077202) at Korea Instit...